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Finding the Fourth Proportional to 319,338.25, 478,465.13 and 192,712.42

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Solution

The fourth proportional to 319,338.25, 478,465.13 and 192,712.42 is: 288,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,338.25 : 478,465.13 = 192,712.42 : x
  2. Step 2: Convert to fraction form
    319,338.25/478,465.13 = 192,712.42/x
  3. Step 3: Cross multiply
    319,338.25x = 478,465.13 × 192,712.42
  4. Step 4: Simplify right side
    319,338.25x = 92,206,170,392.40
  5. Step 5: Solve for x
    x = 92,206,170,392.40/319,338.25
  6. Step 6: Final answer
    x = 288,741.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.